论文标题

diffstrata-一个用于计算的鼠尾草包装,在阿贝利亚差异的模量空间的重言式环中

diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials

论文作者

Costantini, Matteo, Möller, Martin, Zachhuber, Jonathan

论文摘要

阿贝里亚差异层的多尺度差分紧凑型的边界承认了明确的组合描述。但是,即使对于低维地层,边界的复杂性也需要使用计算机。我们对SageMath软件包diffstrata中实现的算法进行描述,以枚举边界组件并在此空间上执行相交理论。特别是,该软件包可以使用[CMZ20]中同一作者开发的方法计算地层的欧拉特征。

The boundary of the multi-scale differential compactification of strata of abelian differentials admits an explicit combinatorial description. However, even for low-dimensional strata, the complexity of the boundary requires use of a computer. We give a description of the algorithms implemented in the SageMath package diffstrata to enumerate the boundary components and perform intersection theory on this space. In particular, the package can compute the Euler characteristic of strata using the methods developed by the same authors in [CMZ20].

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